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Finding the Fourth Proportional to 56,364.78, 77,786.04 and 31,214.82

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Solution

The fourth proportional to 56,364.78, 77,786.04 and 31,214.82 is: 43,077.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,364.78 : 77,786.04 = 31,214.82 : x
  2. Step 2: Convert to fraction form
    56,364.78/77,786.04 = 31,214.82/x
  3. Step 3: Cross multiply
    56,364.78x = 77,786.04 × 31,214.82
  4. Step 4: Simplify right side
    56,364.78x = 2,428,077,237.11
  5. Step 5: Solve for x
    x = 2,428,077,237.11/56,364.78
  6. Step 6: Final answer
    x = 43,077.92

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.